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Beliebt Rechnen >

t^2y^'+4ty-y^3=0

Lösung

t^{2} y^{^{'}} + 4 t y - y^{3} = 0

Lösung

y = \frac{3 t}{2 + 9 c _{1} t ^{9}}, y = - \frac{3 t}{2 + 9 c _{1} t ^{9}}

Schritte zur Lösung

t^{2} y^{'} (t) + 4 t y - y^{3} = 0

Solve Bernoulli ODE:

y = \frac{3 t}{2 + 9 c _{1} t ^{9}}, y = - \frac{3 t}{2 + 9 c _{1} t ^{9}}

y = \frac{3 t}{2 + 9 c _{1} t ^{9}}, y = - \frac{3 t}{2 + 9 c _{1} t ^{9}}

Graph

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